72283464 has 72 divisors (see below), whose sum is σ = 215208630. Its totient is φ = 21901440.

The previous prime is 72283433. The next prime is 72283481. The reversal of 72283464 is 46438227.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 32970564 = 6270^2 + 5742^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4564 + ... + 12860.

Almost surely, 2^72283464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72283464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107604315).

72283464 is an abundant number, since it is smaller than the sum of its proper divisors (142925166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72283464 is a wasteful number, since it uses less digits than its factorization.

72283464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8313 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72283464 is about 8501.9682427071. The cubic root of 72283464 is about 416.5620023689.

The spelling of 72283464 in words is "seventy-two million, two hundred eighty-three thousand, four hundred sixty-four".